Chapter 6.3, Problem 41PE

A farmer wants to fertilize a triangular field with sides of length $300\text{ yd},220\text{ yd}$ , and $180\text{ yd}$ . Fertilizer costs $\$180$ per acre $\left(1\text{ acre}=4840{\text{ yd}}^2\right)$ . Furthermore, the time required to fertilizer $1$ acre is approximately $2.8\text{ hr}$ with combined labor and equipment costs of $\text{\$}23.00$ per hour.

a. To the nearest acre, how big is the field?

b. Using the number of acres from part (a), estimate the cost to fertilize the field. Round to the nearest dollar.